In　this　paper,　in　order　to　obtain　a　smaller　estimation　of　settling　time,　reduce　chattering　caused　by　sign　function　and　improve　network　communication　efficiency,　the　fixed-time　(FXT)　synchronization　of　delayed　BAM　neural　networks　is　analyzed　based　on　some　new　FXT　stability　results　and　non-chattering　quantized　controllers.　Firstly,　by　comprehensively　discussing　the　conditions　of　power　laws　in　differential　inequalities,　a　new　FXT　stability　lemma　is　presented　and　a　smaller　upper　bound　of　settling　time　is　estimated.　Then,　unlike　previous　controllers　with　sign　functions,　a　non-chattering　quantized　state　feedback　control　and　a　non-chattering　quantized　pinning　control　are　designed,　and　some　sufficient　conditions　are　derived　to　ensure　FXT　synchronization　of　the　established　system.　Finally,　two　numerical　simulations　are　given　to　verify　the　effectiveness　of　the　theoretical　results.　The　results　show　that　compared　with　the　previous　researches,　this　paper　provides　a　smaller　upper　bound.　However,　the　convergence　time　of　the　uncontrolled　nodes　is　indirectly　affected　by　the　coupling　of　the　controlled　nodes　and　is　much　longer　than　the　estimated　upper　bound.　&　COPY;　2023　The　Franklin　Institute.　Published　by　Elsevier　Inc.　All　rights　reserved.